
from heapq import heappop, heappush

import numpy as np

def a__       (			A_,	A_,	A_,	A_,	):






  '''simple docstring'''





  __magic_name__	,       __magic_name__								=			grid.shape
  __magic_name__								=			[-1, 1, 0, 0]
  __magic_name__								=			[0, 0, -1, 1]
  if allow_diagonal:
    dx += [-1, -1, 1, 1]
    dy += [-1, 1, -1, 1]

  __magic_name__	,       __magic_name__								=			[(0, source)], set()
  __magic_name__								=			np.full((rows, cols),	np.inf   )
  __magic_name__								=			0
  __magic_name__								=			np.empty((rows, cols),	dtype=A_   )
  __magic_name__								=			None

  while queue:
    ((__magic_name__)	,       (__magic_name__))								=			heappop(A_   )
    if (x, y) in visited:
      continue
    visited.add((x, y)   )

    if (x, y) == destination:
      __magic_name__								=			[]
      while (x, y) != source:
        path.append((x, y)   )
        __magic_name__	,       __magic_name__								=			predecessors[x, y]
      path.append(A_   )  # add the source manually
      path.reverse()
      return matrix[destination], path

    for i in range(len(A_   )   ):
      __magic_name__	,       __magic_name__								=			x + dx[i], y + dy[i]
      if 0 <= nx < rows and 0 <= ny < cols:
        __magic_name__								=			grid[nx][ny]
        if next_node == 1 and matrix[nx, ny] > dist + 1:
          heappush(A_,	(dist + 1, (nx, ny))   )
          __magic_name__								=			dist + 1
          __magic_name__								=			(x, y)

  return np.inf, []


if __name__ == "__main__":
    import doctest

    doctest.testmod()



from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors

def a__       (			A_   ):






  '''simple docstring'''





  __magic_name__								=			prime_factors(A_   )
  if is_square_free(A_   ):
    return -1 if len(A_   ) % 2 else 1
  return 0


if __name__ == "__main__":
    import doctest

    doctest.testmod()

